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Finding the Third Proportional to 198,801 and 414,369

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Solution

The third proportional to 198,801 and 414,369 is: 863,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,801 : 414,369 = 414,369 : x
  2. Step 2: Convert to fraction form
    198,801/414,369 = 414,369/x
  3. Step 3: Cross multiply
    198,801x = 414,369 × 414,369
  4. Step 4: Simplify right side
    198,801x = 171,701,668,161
  5. Step 5: Solve for x
    x = 171,701,668,161/198,801
  6. Step 6: Final answer
    x = 863,686.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.